Characterization of evenly convex sets and evenly quasiconvex functions

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Abstract

The aim of this paper is to present a geometric characterization of even convexity in separable Banach spaces, which is not expressed in terms of dual functionals or separation theorems. As an application, an analytic equivalent definition for the class of evenly quasiconvex functions is derived. © 2002 Elsevier Science (USA). All rights reserved.
Original languageEnglish
Pages (from-to)58-66
JournalJournal of Mathematical Analysis and Applications
Volume273
DOIs
Publication statusPublished - 1 Sep 2002

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